Question

for the equation $y = -x + 4$, find the slope and y - intercept. there is also a coordinate grid (with x - axis from - 6 to 6 and y - axis from - 6 to 6) shown.

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept.

Step2: Identify slope from the equation

Given the equation $y=-x + 4$, we can rewrite $-x$ as $-1x$. Comparing with $y = mx + b$, we see that $m=-1$. So the slope is $-1$.

Step3: Identify y - intercept from the equation

Comparing $y=-x + 4$ with $y = mx + b$, we see that $b = 4$. So the $y$-intercept is $4$.

Answer:

Slope: $-1$
y - intercept: $4$